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Here, I will explain about cents.

1 cent is 2 1/1200 = 1.000577789 times. One octave is 1200 cents. At n cents, it is 2 times {= (1.000577789) n } of the original frequency. Therefore, the frequency of the sound of n cents higher than the sound of the basic frequency Fo [Hz] can be obtained by the following formula.

Fn [Hz] = Fo × 2 n / 1200

The actual frequency for the cents at this time is as shown in Table 4.19.

Table 4.19 Actual frequency for cents
cents actual frequency (× Fo)
01.000000000
1001.059463094
2001.122462048
3001.189207115
4001.259921050
5001.334839854
6001.414213562
7001.498307077
8001.587401052
9001.681792830
10001.781797436
11001.887748625
12002.000000000

Next, the setting method of "FNS" and "OCT" will be explained as an example when the C4 sound is sampled at 44.1KHz.
∙ The "FNS" value for P [Cent] can be calculated using the following formula.

FNS = 2 10 × (2 P / 1200 -1)

∙ From this equation, it is possible to output at any frequency by setting each parameter as shown in Table 4.20.


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